We define natural first order Lagrangians for immersions of Riemannian manifolds and we prove a bijective correspondence between such Lagrangians and the symmetric functions on an open subset of m-dimensional Euclidean space.
@article{bwmeta1.element.bwnjournal-article-apmv69z3p207bwm,
author = {Jerzy J. Konderak},
title = {Natural first order Lagrangians for immersions},
journal = {Annales Polonici Mathematici},
volume = {69},
year = {1998},
pages = {207-215},
zbl = {0923.58016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv69z3p207bwm}
}
Jerzy J. Konderak. Natural first order Lagrangians for immersions. Annales Polonici Mathematici, Tome 69 (1998) pp. 207-215. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv69z3p207bwm/
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